Finding the Third Proportional to 123,864 and 267,600

Step by Step Solution

1. Step 1: Write the proportion equation
   123,864 : 267,600 = 267,600 : x
2. Step 2: Convert to fraction form
   123,864/267,600 = 267,600/x
3. Step 3: Cross multiply
   123,864x = 267,600 × 267,600
4. Step 4: Simplify right side
   123,864x = 71,609,760,000
5. Step 5: Solve for x
   x = 71,609,760,000/123,864
6. Step 6: Final answer
   x = 578,132.14